On Poncelet's porism
Waldemar Cieślak; Elżbieta Szczygielska
Annales UMCS, Mathematica (2010)
- Volume: 64, Issue: 2, page 21-28
- ISSN: 2083-7402
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topWaldemar Cieślak, and Elżbieta Szczygielska. "On Poncelet's porism." Annales UMCS, Mathematica 64.2 (2010): 21-28. <http://eudml.org/doc/267600>.
@article{WaldemarCieślak2010,
abstract = {We consider circular annuli with Poncelet's porism property. We prove two identities which imply Chapple's, Steiner's and other formulas. All porisms can be expressed in the form in which elliptic functions are not used.},
author = {Waldemar Cieślak, Elżbieta Szczygielska},
journal = {Annales UMCS, Mathematica},
keywords = {Porism; annulus; bicentric polygon; Poncelet's porism; circular annulus},
language = {eng},
number = {2},
pages = {21-28},
title = {On Poncelet's porism},
url = {http://eudml.org/doc/267600},
volume = {64},
year = {2010},
}
TY - JOUR
AU - Waldemar Cieślak
AU - Elżbieta Szczygielska
TI - On Poncelet's porism
JO - Annales UMCS, Mathematica
PY - 2010
VL - 64
IS - 2
SP - 21
EP - 28
AB - We consider circular annuli with Poncelet's porism property. We prove two identities which imply Chapple's, Steiner's and other formulas. All porisms can be expressed in the form in which elliptic functions are not used.
LA - eng
KW - Porism; annulus; bicentric polygon; Poncelet's porism; circular annulus
UR - http://eudml.org/doc/267600
ER -
References
top- Bos, H. J. M., Kers, C., Dort, F. and Raven, D. W., Poncelet's closure theorem, Expo. Math. 5 (1987) 289-364. Zbl0633.51014
- Cieślak, W., Szczygielska, E., Circuminscribed polygons in a plane annulus, Ann. Univ. Mariae Curie-Skłodowska Sect. A 62 (2008), 49-53. Zbl1187.53002
- Kerawala, S. M., Poncelet porism in two circles, Bull. Calcutta Math. Soc. 39 (1947), 85-105. Zbl0029.22601
- Weisstein, E. W., Poncelet's Porism, From Math World - A Wolfram Web Resource.
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